Martins, João LuizBrandão, Adilson José Vieira2017-03-132017-03-132004MARTINS, J. L.; BRANDÃO, A. J. V. Uma classe de séries infinitas envolvendo termos de sequências generalizadas. Boletın de la Asociacion Matematica Venezolana, Venezuela, v. XI, n. 1, p. 45-54, 2004. Disponível em: <https://www.emis.de/journals/BAMV/conten/vol11/jlmartins.pdf>. Acesso em: 13 mar. 2017.1315-4125http://www.repositorio.ufop.br/handle/123456789/7371In this article we introduce a recurrence formula for certain infinite series whose terms include factors that belong to a generalized Horadamtype sequence. This recurrence formula is used to calculate the sum of the series X +∞ n=1 n kWnx n without the need of derivatives and at a lower computational cost. Some results are apresented below which were obtained by numerical implementation of the recurrence formula for some particular values of k and x.pt-BRrestritoArtigo publicado em periodicohttps://www.emis.de/journals/BAMV/conten/vol11/jlmartins.pdf